Parallel Lines and Transversals Honors

Name the alternate interior angle to angle 3.

• 4

• 5

• 6

• 8

Given these 2 parallel lines cut by a transversal, find the value of x.

• 20

• 135

• 31

• 145

Which could be used to prove the lines are parallel?

• Converse of Alternate Interior Angles Theorem

• Converse of Same-Side Interior Angles Theorem

• Converse of Corresponding Angles Postulate

• Cannot be proved parallel

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

What is the angle relationship between

angles 1 and 8 ?

• Corresponding

• Alternate Interior

• Alternate Exterior

• Same Side Exterior

  (Supplementary)

What is the angle relationship between angles 1 and 8 ?

• Corresponding

• Alternate Interior

• Alternate Exterior

• Same Side Exterior

  (Supplementary)

Line l and m are cut by transversal n.  Which statement proves that line l is parallel to line m?

• ∠2 ≅ ∠3

• ∠2 ≅ ∠6 

• m∠7 + m∠8 = 180°

• m∠3 + m∠5 = 90°

Which of the following relationships prove that j is parallel to k?

• ∠3 and ∠4 are supplementary

• ∠4 and ∠5 are supplementary

• ∠1 ≅ ∠3

• ∠2 ≅ ∠3

What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

What is the reason for Statement 4?

• Substitution

• Converse of Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Postulate

• Converse of Same-side Interior Angles Theorem